so that the 2D phase space \(\hat{\Gamma }\)  is further reduced to an interval \(\phi \in \left(\phi _{\mathrm {min}}, \phi _{\mathrm {max}}\right)\) .
It should be noted that such a defined measure depends explicitly on \(b_0\) , and its choice in principle is arbitrary. However, in loop cosmology there exists a preferred choice, which
is its value at the quantum bounce \(b_0 = b\left(t_B\right)\)  [1]}.
With such a choice, the probability of the occurrence of an event \(E\)  becomes
\(P(E) = \frac{1}{{\cal {D}}} \int _{\mathcal {I}(E)}{\left\lbrace -2\left[\hat{\cal {H}}_{grav}^{\mathrm {A}}(b_B) + V(\phi )\right]\right\rbrace ^{1/2} d\phi },\) 
